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Finding the Fourth Proportional to 9,542.28, 14,318.54 and 4,069

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Solution

The fourth proportional to 9,542.28, 14,318.54 and 4,069 is: 6,105.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,542.28 : 14,318.54 = 4,069 : x
  2. Step 2: Convert to fraction form
    9,542.28/14,318.54 = 4,069/x
  3. Step 3: Cross multiply
    9,542.28x = 14,318.54 × 4,069
  4. Step 4: Simplify right side
    9,542.28x = 58,262,139.26
  5. Step 5: Solve for x
    x = 58,262,139.26/9,542.28
  6. Step 6: Final answer
    x = 6,105.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.